How do you combine like terms in $(5 x^{2} - 6 x + 27) + (3 x^{2} + 8 x - 70)$ $(5x ^ { 2} - 6x + 27) + ( 3x ^ { 2} + 8x - 70)$ ?

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Answer 1 · 2018-04-12T10:32:09

Add coefficient:
$p_1=a_0+a_1x+a_2x^2+...+a_nx^n$
$p_2=b_0+b_1x+b_2x^2+...+b_nx^n$
$p_1+p_2=$
$=(a_0+b_0)+(a_1+b_1)x+(a_2+b_2)x^2+...+(a_n+b_n)x^n$

$(5x ^ { 2} - 6x + 27) + ( 3x ^ { 2} + 8x - 70)=$
$=(5+3)x^2+(8-6)*x+27-70=$
$=8x^2+2*x-43$

How do you combine like terms in (5x ^ { 2} - 6x + 27) + ( 3x ^ { 2} + 8x - 70)(5x2−6x+27)+(3x2+8x−70)(5x ^ { 2} - 6x + 27) + ( 3x ^ { 2} + 8x - 70)?